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42292689680 = 245528658621
BaseRepresentation
bin100111011000110101…
…110011101100010000
311001011110011020111002
4213120311303230100
51143103412032210
631232355041132
73025023634163
oct473065635420
9131143136432
1042292689680
1116a331367aa
1282438a01a8
133cb0068187
142092c95ada
151177e124a5
hex9d8d73b10

42292689680 has 20 divisors (see below), whose sum is σ = 98330503692. Its totient is φ = 16917075840.

The previous prime is 42292689623. The next prime is 42292689773. The reversal of 42292689680 is 8698629224.

42292689680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31820851456 + 10471838224 = 178384^2 + 102332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264329231 + ... + 264329390.

Almost surely, 242292689680 is an apocalyptic number.

42292689680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42292689680 is an abundant number, since it is smaller than the sum of its proper divisors (56037814012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42292689680 is a wasteful number, since it uses less digits than its factorization.

42292689680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528658634 (or 528658628 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 42292689680 in words is "forty-two billion, two hundred ninety-two million, six hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 528658621 1057317242 2114634484 2643293105 4229268968 5286586210 8458537936 10573172420 21146344840 42292689680